11412114400 has 72 divisors (see below), whose sum is σ = 29326169880. Its totient is φ = 4324584960.

The previous prime is 11412114379. The next prime is 11412114403. The reversal of 11412114400 is 441121411.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412114403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360199 + ... + 390598.

It is an arithmetic number, because the mean of its divisors is an integer number (407307915).

Almost surely, 2^11412114400 is an apocalyptic number.

11412114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11412114400 is an abundant number, since it is smaller than the sum of its proper divisors (17914055480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11412114400 is a wasteful number, since it uses less digits than its factorization.

11412114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750836 (or 750823 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11412114400 its reverse (441121411), we get a palindrome (11853235811).

The spelling of 11412114400 in words is "eleven billion, four hundred twelve million, one hundred fourteen thousand, four hundred".